Dergiler / Journal of New Theory / 2018 / Sayı: 24

Novel Concept of Cubic Picture Fuzzy Sets

Sayfa
59–72
Yayın Tarihi
2018-08-14
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Deliver some examples to support of established P-order and R-order union and intersection of internal (external) cubic picture fuzzy sets.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:As a new extension of a cubic set, the notion of a cubic picture fuzzy set is introduced.
📊
Temel Bulgular & Veri:The propose work is separated into two portions.
💡
Sonuç & Katkı:Deliver some examples to support of established P-order and R-order union and intersection of internal (external) cubic picture fuzzy sets.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Cubic Picture fuzzy set · P-order union and intersection · R-order union and intersection

Abstract

As a new extension of a cubic set, the notion of a cubic picture fuzzy set is introduced. The propose work is separated into two portions. Firstly, establish the concept of cubic picture fuzzy set and explore associated properties. Secondly, establish internal (external) cubic picture fuzzy sets and define P-order and R-order union and intersection. Deliver some examples to support of established P-order and R-order union and intersection of internal (external) cubic picture fuzzy sets.

🔖

Bu Makaleye Atıf Yap

ASHRAF, S., ABDULLAH, S., QADİR, A. (2018). Novel Concept of Cubic Picture Fuzzy Sets. Journal of New Theory, Sayı: 24, 59–72. https://ajindex.com/articles/681572

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. S. Ashraf, T. Mahmood, S. Abdullah and Q. Khan, Different Approaches to Multi-Criteria Group Decision Making Problems for Picture Fuzzy Environment, Bulletin of the Brazilian Mathematical Society, New Series, 2018. https://doi.org/10.1007/s00574-018-0103 -y
  2. S. Ashraf, T. Mahmood and Q. Khan, Picture Fuzzy Linguistic Sets and Their Applications for Multi-Attribute Group Decision Making Problems, The Nucleus 55(2), 66-73, 2018
  3. K. Atanassov, New operations defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems, 61(2), 137-142, 1994
  4. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems, 20, 87-96, 1986
  5. K. Atanassov, G. Gargov, Interval valued intuitionistic fuzzy sets, Fuzzy Sets and Systems, 31, 343-349, 1989
  6. K. Atanassov, Remark on intuitionistic fuzzy numbers, Notes on intuitionistic fuzzy sets, 13, 29-32, 2007
  7. B. C. Cuong, V. H. Phan, some fuzzy logic operations for picture fuzzy sets, In preceding of seventh international conference on knowledge and system engineering (IEEE), 2015
  8. B. C. Cuong, T. N. Roan, A classification of representable t-norm operators for picture fuzzy sets, In preceding of eight international conference on knowledge and system engineering (IEEE), 2016
  9. B. C. Cuong, Picture Fuzzy Sets- a new concept for computational intelligence problems, In Proceedings of the Third World Congress on Information and Communication Technologies, 1-6, 2013
  10. B. C. Cuong, Picture fuzzy sets, journal of computer science and cybernetics, 30(4) 409-420, 2001
  11. Y. B. Jun, C. S. Kim and K. O. Yang, Cubic sets, Ann. Fuzzy Math. Inform. 4(1), 83–98, 2012
  12. Y. B. Jun, C. S. Kim and M. S. Kang, Cubic subalgebras and ideals of BCK/BCIalgebras, Far East. J. Math. Sci. 44, 239–250, 2010
  13. Y. B. Jun, C. S. Kim and J. G. Kang, Cubic q-ideals of BCI-algebras, Ann. Fuzzy Math. Inf. 1, 25–34, 2011
  14. T. Mahmood, F. Mehmood, Q. Khan, Cubic Hesitant Fuzzy Sets and Their Applications to Multi Criteria Decision Making, International Journal of Algebra and Statistics, 5(1), 19–51, 2016
  15. T. Mahmood, S. Abdullah, S. Rashid, M. Bilal, Multicriteria Decision Making Based On Cubic Sets, Journal of New Theory, 16, 01-09, 2017
  16. H. W. Liu, G. J. Wang, Multi-criteria methods based on intuitionistic fuzzy sets, European Journal Operational Research, 179(1), 220–233, 2007
  17. R. R. Yager, Pythagorean fuzzy subsets, In Proc Joint IFSA World Congress and NAFIPS Annual Meeting, Edmonton, Canada,